BMO Regularity for One-Dimensional Minimizers of some Lagrange Problems

Alberto Fiorenza

Abstract: We extend our results about a class of non-regular Lagrange problems of Calculus of Variations showing that the derivative of minimizers are in $BMO$. For this class we give also some results of optimality relative to the Tonelli set, of the type recently given by Ball-Mizel, by using results of Harmonic Analysis.